Search a number
-
+
34036873 = 1317233661
BaseRepresentation
bin1000000111010…
…1110010001001
32101001020210221
42001311302021
532203134443
63213310041
7562210603
oct201656211
971036727
1034036873
1118238452
12b495321
137089580
144740173
152ec4eed
hex2075c89

34036873 has 16 divisors (see below), whose sum is σ = 39036816. Its totient is φ = 29399040.

The previous prime is 34036837. The next prime is 34036879. The reversal of 34036873 is 37863043.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 82944 + 33953929 = 288^2 + 5827^2 .

It is a cyclic number.

It is not a de Polignac number, because 34036873 - 213 = 34028681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34036879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51163 + ... + 51823.

It is an arithmetic number, because the mean of its divisors is an integer number (2439801).

Almost surely, 234036873 is an apocalyptic number.

It is an amenable number.

34036873 is a deficient number, since it is larger than the sum of its proper divisors (4999943).

34036873 is a wasteful number, since it uses less digits than its factorization.

34036873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924.

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 34036873 is about 5834.1128717227. The cubic root of 34036873 is about 324.0782497839.

The spelling of 34036873 in words is "thirty-four million, thirty-six thousand, eight hundred seventy-three".

Divisors: 1 13 17 221 233 661 3029 3961 8593 11237 51493 146081 154013 2002169 2618221 34036873